ON THE ASPHERICITY OF CERTAIN RELATIVE PRESENTATIONS OVER TORSION-FREE GROUPS
2008 ◽
Vol 18
(06)
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pp. 979-987
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Keyword(s):
It is noteworthy to find whether a relative presentation with torsion-free coefficients is aspherical or not, since a nonaspherical relative presentation that defines a torsion-free group would provide a potential counterexample to the Kaplansky zero-divisor conjecture, see [7]. In this paper we investigate asphericity of the relative group presentation [Formula: see text] provided that m1, m2, …, mk are nonzero integers, k ≤ 3, each coefficient has infinite order and the relator is not a proper power.
Keyword(s):
2019 ◽
Vol 12
(2)
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pp. 590-604
2008 ◽
Vol 51
(1)
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pp. 201-214
1994 ◽
Vol 04
(04)
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pp. 575-589
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Keyword(s):
2007 ◽
Vol 83
(2)
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pp. 149-156
Keyword(s):
Keyword(s):
1995 ◽
Vol 38
(3)
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pp. 485-493
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